(log3 2)+log9 2)*(log4 3+log8 3)+(log3 3^1/2)^2+ln根号e-lg1

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(log32)+log92)*(log43+log83)+(log33^1/2)^2+ln根号e-lg1(log32)+log92)*(log43+log83)+(log33^1/2)^2+ln根号e

(log3 2)+log9 2)*(log4 3+log8 3)+(log3 3^1/2)^2+ln根号e-lg1
(log3 2)+log9 2)*(log4 3+log8 3)+(log3 3^1/2)^2+ln根号e-lg1

(log3 2)+log9 2)*(log4 3+log8 3)+(log3 3^1/2)^2+ln根号e-lg1
原式=(lg2/lg3+lg2/lg9)(lg3/lg4+lg3/lg8)+(1/2*log3(3))²+lne^1/2)-0
=(lg2/lg3+lg2/2lg3)(lg3/2lg2+lg3/3lg2)+(1/2)²+1/2lne
前面约分
=(1+1/2)(1/2+1/3)+1/4+1/2
=1